from statistics and hypothesis.

Maths 208 Q1. A low noise transistor for use in computing products is being developed. It is claimed that the mean noise level will be below the 2.5 dB level of the product currently in use. a) Set up the appropriate null and alternative hypotheses for verifying the claim b) A sample of 16 transistors yields & = 1.8 and s = 0.8. Find the P value for the test. Do you think that Ho should be rejected? What assumptions are making concerning the distribution of the random variable X, the noise level of a transistor? c) Explain the context of this problem, what conclusions can be drawn regarding the noise level of these transistors. If you make a Type I error, what will have occurred? What is the probability that you are making such as error? Q2. In an attempt to study the problem of power failure in field-installed computer equipment, data is collected on fifty field trips made to repair equipment. The random variables studied are X, the time in hours required to locate and rectify the problem, and Y, the cause of the failure. We define Y by Y= 10. 1 if the failure is due to faulty microprocessor otherwise These data are obtained: y 1.52 1.83 2.25 4.73 2.89 1.49 1.34 0000 001 2.15 2.66 2.79 1.35 1.54 4.59 4.27 0 0 0 0 00 0 3.91 2.76 3.03 3.52 5.97 1.45 0000 00 3.07 2.18 1.38 2.04 1.49 1.11 100000 1.24 4.84 2.82 3.16 4.58 3.28 0 0000 0 1.30 3.01 1.20 3.42 1.86 3.49 0 0000 0 3.93 2.56 2.63 5.6 4.6 5.34 001000 1.62 2.82 4.88 2.04 1.62 0.24 a) Construct a relative frequency histogram for the data on the time required to locate and rectify the problem. Use sic categories. Based on this histogram, would you be surprised to hear someone claim that X is approximately normally distributed? Explain. b) Approximate the mean, variance and standard deviation for X. c) Construct a relative cumulative frequency ogive. Use this ogive to approximate the median for X. Approximately what percent of problems can be located and rectified in 1.5 hours or less? d) Draw the boxplot